In my opinion it's not very mathematical. If we implement powers for
vectors like this (and products, too, as some of these other packages do),
then for consistency, perhaps products and powers of matrices should behave
the same way? Ordinary matrix multiplication is much more common in
mathematics than element-wise multiplication, and I think it would be
awkward to have a separate operation for ordinary matrix multiplication.
Anyway, it is easy to accomplish the same task:
sage: v = vector([1,2,3])
sage: vector([a**2 for a in v])
(1, 4, 9)
or
sage: v.apply_map(lambda x: x^2)
(1, 4, 9)
On Saturday, June 11, 2022 at 11:09:45 AM UTC-7 erent...@gmail.com wrote:
> sage -c "vector([1,2,3])^2" returns with a NotImplementedError, when in
> other mathematics software, the same expression will operate element-wise.
>
> python:
> >>> import numpy; numpy.array([1,2,3])**2
> array([1, 4, 9])
>
> octave:
> octave:1> [1,2,3].^2
> ans = 1 4 9
>
> mathematica:
> In[1]:= {1,2,3}^2
> Out[1]= {1, 4, 9}
>
> Is there a reason this is not the way sage also implements it?
>
>
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